349 citations · 657 across the 6 of their papers we have counts for
6 papers
Exact mean-field theory explains the dual role of electrical synapses in collective synchronization
Ernest Montbrió, Diego Pazó
Electrical synapses play a major role in setting up neuronal synchronization, but the precise mechanisms whereby these synapses contribute to synchrony are subtle and remain elusiv…
An exact firing rate model reveals the differential effects of chemical versus electrical synapses in spiking networks
Bastian Pietras, Federico Devalle, Alex Roxin +2
Chemical and electrical synapses shape the dynamics of neuronal networks. Numerous theoretical studies have investigated how each of these types of synapses contributes to the gene…
Dynamics of a large system of spiking neurons with synaptic delay
Federico Devalle, Ernest Montbrió, Diego Pazó
We analyze a large system of heterogeneous quadratic integrate-and-fire (QIF) neurons with time delayed, all-to-all synaptic coupling. The model is exactly reduced to a system of f…
The Winfree model with heterogeneous phase-response curves: Analytical results
Diego Pazó, Ernest Montbrió, Rafael Gallego
We study an extension of the Winfree model of coupled phase oscillators in which both natural frequencies and phase-response curves (PRCs) are heterogeneous. In the first part of t…
Macroscopic description for networks of spiking neurons
Ernest Montbrió, Diego Pazó, Alex Roxin
A major goal of neuroscience, statistical physics and nonlinear dynamics is to understand how brain function arises from the collective dynamics of networks of spiking neurons. Thi…
Low-dimensional dynamics of populations of pulse-coupled oscillators
Diego Pazó, Ernest Montbrió
Large communities of biological oscillators show a prevalent tendency to self-organize in time. This cooperative phenomenon inspired Winfree to formulate a mathematical model that…